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Volumn 8, Issue 3, 2003, Pages 235-263

Number worlds: Visual and experimental access to elementary number theory concepts

Author keywords

Elementary number theory; Experimentation; Microworlds; Visualisation

Indexed keywords

EXPERIMENTS; MACHINE DESIGN; MOTIVATION; NUMBER THEORY; STUDENTS; VISUALIZATION;

EID: 2142768183     PISSN: 13823892     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:IJCO.0000021780.01416.61     Document Type: Article
Times cited : (13)

References (19)
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  • 3
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    • Reston, Virginia: National Council of Teachers of Mathematics
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  • 5
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    • The practices of mathematicians: What do they tell us about coming to know mathematics?
    • Burton, L. (1999). The practices of mathematicians: What do they tell us about coming to know mathematics? Educational Studies in Mathematics 37(2): 121-143.
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  • 7
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    • Microworlds as representations
    • A.A. diSessa, C. Hoyles and R. Noss (Eds). Berlin/Heidelberg: Springer-Verlag
    • Edwards, L. (1995). Microworlds as representations. In A.A. diSessa, C. Hoyles and R. Noss (Eds), Computers and Exploratory Learning (pp. 127-154). Berlin/Heidelberg: Springer-Verlag.
    • (1995) Computers and Exploratory Learning , pp. 127-154
    • Edwards, L.1
  • 8
    • 0002977038 scopus 로고
    • On the reluctance to visualize in mathematics
    • W. Zimmerman and S. Cunningham (Eds). Vol. MAA Notes Series. Washington, DC: MAA Press
    • Eisenberg, T. and Dreyfus, T. (1991). On the reluctance to visualize in mathematics. In W. Zimmerman and S. Cunningham (Eds), Visualization in Teaching and Learning Mathematics (Vol. MAA Notes Series, pp. 25-37). Washington, DC: MAA Press.
    • (1991) Visualization in Teaching and Learning Mathematics , pp. 25-37
    • Eisenberg, T.1    Dreyfus, T.2
  • 9
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    • Understanding elementary number theory at the undergraduate level: A semiotic approach
    • S. Campbell and R. Zazkis (Eds). Westport, CT: Ablex Publishing
    • Ferrari, P. (2002). Understanding elementary number theory at the undergraduate level: A semiotic approach. In S. Campbell and R. Zazkis (Eds), Learning and Teaching Number Theory: Research in Cognition and Instruction (pp. 97-116). Westport, CT: Ablex Publishing.
    • (2002) Learning and Teaching Number Theory: Research in Cognition and Instruction , pp. 97-116
    • Ferrari, P.1
  • 10
    • 2142833701 scopus 로고
    • Seeing beauty in mathematics: Using fractal geometry to build a spirit of mathematical inquiry
    • Goldenberg, P. (1989). Seeing beauty in mathematics: Using fractal geometry to build a spirit of mathematical inquiry. Journal of Mathematical Behavior 8: 169-204.
    • (1989) Journal of Mathematical Behavior , vol.8 , pp. 169-204
    • Goldenberg, P.1
  • 13
    • 33846571511 scopus 로고    scopus 로고
    • The construction of mathematical meanings: Connecting the visual with the symbolic
    • Noss, R., Healy, L. and Hoyles, C. (1997). The construction of mathematical meanings: Connecting the visual with the symbolic. Educational Studies in Mathematics 33: 203-233.
    • (1997) Educational Studies in Mathematics , vol.33 , pp. 203-233
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  • 15
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    • Factors, divisors and multiples: Exploring the web of students' connections
    • Zazkis, R. (2000). Factors, divisors and multiples: Exploring the web of students' connections. Research in Collegiate Mathematics Education 4: 210-238.
    • (2000) Research in Collegiate Mathematics Education , vol.4 , pp. 210-238
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  • 16
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    • Intuitive rules in number theory: Example of "the more of A, the more of B" rule implementation
    • Zazkis, R. (1999). Intuitive rules in number theory: Example of "the more of A, the more of B" rule implementation. Educational Studies in Mathematics 40(2): 197-209.
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  • 17
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  • 18
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    • Prime decomposition: Understanding uniqueness
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.